Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because the wind is at his back. Let s be his speed in miles per hour riding against the wind. What is an expression that represents his total time in hours riding there and back?

Answers

Answer 1

Answer:

The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.

Step-by-step explanation:

In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:

time = distance/speed

First part:

t1 = 9/s

Second part:

t2 = 9/1.2s = 7.5/s

The expression for the whole course is the sum of each, so we have:

t = t1 + t2

t = 9/s + 7.5/s

t = (9 + 7.5)/s = (16.5)/s


Related Questions

a rectangular prism has a surface are of 3310 square inches. if the rectangular prism has a length of 15 inches and width of 32 inches.what is the height in inches

Answers

Answer:

25

step by step explanation:

Find the compound interest on $10,000 for 2 years at 6% pa

Answers

The compound interest is 11,236 for two years.

The equation is y= 10,000(1.06)(1.06)

at a math convention nora sold 13 rulers for $110.50 at the same price how much would 7 rulers cost?

Answers

Answer:

$59.50

Step-by-step explanation:

You need to find the price of 1 ruler.

[tex]\frac{110.50}{13}=$8.50[/tex]

Now you need to multiply the price of one, by 7 to find the answer.

[tex]8.5*7=59.5[/tex]

Have a nice day. Please mark brainliest!

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at

this store have increased at a rate of 3.75% per month. At this rate of growth, which function can

be used to determine the monthly cell phone sales x months after January?

f(x) = 417(1.375)*

f(x) = 417(3.75)

f(x) = 417(0.0375)*

Answers

Answer:

[tex]f(x)=417(1.0375)^{x}[/tex]

Step-by-step explanation:

This question is not complete; please find the question attached.

Sales of cell phones at the store is growing at the rate of 3.75% per month which reveals that the monthly sales of cell phone is growing exponentially.

Sales per month will be represented by the growth function,

[tex]f(x)=A(1+\frac{r}{100})^{x}[/tex]

Where f(x) = Monthly sales

A = Sales in the first month

r = rate of increase in the sales

x = Duration or time

Fro the given question,

A = 417,  r = 3.75

So the function showing the monthly sales will be,

[tex]f(x)=417(1+\frac{3.75}{100})^{x}[/tex]

[tex]f(x)=417(1.0375)^{x}[/tex]

Which statements are true about the triangle? Select all that apply.

Answers

Answer:

A, B, C, F

Step-by-step explanation:

A: Its is acute because it has 2 sides that are less than 90%

B: It is obtuse because there is 1 side that is over 90%

C: It has 2 equal sides.

F: 100% + 40% + 40% = 180%

The graph of 2x + 3y = 8 is shown on the grid. Which ordered pair is in the solution set of 2x + 3y = 8?
es )
A)
(1,4)
(1,-4)
(4,1)
(1.4)

Answers

Answer:

None of these solutions

Step-by-step explanation:

Substitute the values for x and y into the equation and see if they work out:

2(1)+3(4)=8

14 is not equal to 8, so (1,4) is not a solution.

2(1)+3(-4)=8

-10 is not equal to 8, so (1, -4) is not a solution.

2(4)+3(1)=8

11 is not equal to 8, so (4,1) is not a solution.

You repeated the first option as the last one but with a period instead for some reason, perhaps a typo?

a cube has a surface area of 294 square inches what is the volume of the cube?

Answers

Answer:

343 cubic inches

Answer:

V=343

Step-by-step explanation:

The formula for surface area is SA=6s^2. The formula for volume is V=s^3. Plugging in the surface area and solving for s in the first one gives you s=✓(294/6). This results in a value of 7 for the s or side length. Cubing this gives you the volume.

V=7^3

V=343

Lila is wallpapering one wall of her bedroom, as shown in the diagram. She will cover the whole wall
except for the doorway.
How many square feet of wallpaper does Lila need?

Answers

Answer:

126ft

Step-by-step explanation: 1. Find the area of the whole wall

2. Find the area of the door

3. Subtract the area of the wall from the door

Find the volume of the pyramid below.
Enter your answer as a number with no units.

Answers

Bet imma go measure it rn!! Be back to you very soon xoxo


h(1)=−5
h(n)=h(n−1)+1.8
h(3)=​

Answers

Answer:

-1.4

Step-by-step explanation:

h(2) = h(2-1) + 1.8

= h(1) + 1.8

= -5 + 1.8

= -3.2

h(3) = h(3-1) + 1.8

= h(2) + 1.8

= -3.2 + 1.8

= -1.4

As per the given expression h(n)=h(n−1)+1.8, then the value of h(3) is -1.4.

In this explanation, we will calculate the value of h(3) using the given recursive formula h(n) = h(n-1) + 1.8 with the initial condition h(1) = -5. We will follow the iterative approach to find the value of h(3) by step-by-step calculations.

We are given the recursive formula h(n) = h(n-1) + 1.8, where h(1) = -5. Let's find the value of h(3) using this formula.

Step 1: Calculate h(2)

To find h(2), we use the recursive formula:

h(2) = h(1) + 1.8

h(2) = -5 + 1.8

h(2) = -3.2

Step 2: Calculate h(3)

Now, to find h(3), we again use the recursive formula:

h(3) = h(2) + 1.8

h(3) = -3.2 + 1.8

h(3) = -1.4

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The sum of three consecutive even integers is 102. Find the largest of the three integers.

Answers

Answer to the question is..

32,34,36

largest is 36



Find the area of the circle if r = 5 meters. Leave the answer in terms of π.

A) A =100π square meters
B) A =25π square meters
C) A = 5π square meters
D) A = 10π square meters

Answers

Hope this will help u...

What is 2h+3 when h=6

Answers

Answer:

15

Step-by-step explanation:

After plugging in the 6, multiply 2 and 6 and then add 3. This equals 15.

Answer:

15

Step-by-step explanation:

2h+3 where h=6 (plug in 6 for h)

2(6)+3= (Multiply)

12+3= (Add)

15

which graph represent an odd function?​

Answers

Answer:

The top one

Step-by-step explanation:

Hope it helps!

Answer:

option B

Step-by-step explanation:

Which expression is represented by the model?

Answers

Answer:

4x-3

Step-by-step explanation:

I have never worked with the program you are using, but if i were to assume,

there are four Xs (4x) and three minus signs, (-3)

so 4x-3 make the most sense to me.

i hope this helps!

:)

Answer:

4x-3

Step-by-step explanation:

Mr. Memio

Twice a number is equal to negative four. Which equation could be used to find the number?
2 n = 4
2 n = -4
2 n - 4
2 n = -4 n

Answers

Answer:

2n=-4

Step-by-step explanation:

Let he number be n

N×2=-4

Further explanation

If we are to solve

Divide both sides by 2

n=-2

Answer:

2n=-4

Step-by-step explanation:

Make sure to give the other person brainliest!

Combining Like Terms to Solve Equations

2x+3=23
Show how you got the answer

Answers

Answer:

X=10

Step-by-step explanation:

23-3=20

20÷2= 10

2(10)+3=23

Subtract the 3 to bring it to the other side once you have done that the left side of the equation should have 2x and the right side should have 20 since if you subtract on one side you have to do to the other side. Bringing three to the other side is combining like terms. Once you have done that you should have 2x=20. After this you should solve. 2x/2 20/2 x=10
The answer is 10

The perimeter of the following figure is 18.6 inches. What is the length of n?

Answers

Given:

Perimeter of the figure = 18.6 inches

To find:

The length of n.

Solution:

Perimeter of the figure = 18.6 inches

Perimeter = Sum of the sides

3 + 6.3 + 4.5 + n = 18.6

13.8 + n = 18.6

Subtract 13.8 from both sides.

13.8 + n - 13.8 = 18.6 - 13.8

n = 18.6 - 13.8

n = 4.8

The length of n is 4.8 inch.

Using the discriminant, the following quadratic equation y=-3x^2+7x+6 has ___ solutions
A.2
B.1
C.0

Answers

Answer:

choice C. 0 no real solution

Step-by-step explanation:

y=-3x^2+7x+6

using the formula for discriminant

D =  b^2 - 4ac

D = 7^2  -  4*3*6

D = 49  - 72  < 0

no real solutions

Melissa picked 1 3/5 pounds of cherries. Rachel picked 2 1/3 times more cherries than Melissa. How many cherries did Rachel pick?

Answers

Final answer:

To find out how many cherries Rachel picked, the mixed numbers are converted to improper fractions, multiplied, and the result is converted back to a mixed number. Rachel picked 3 11/15 pounds of cherries.

Explanation:

The question asks how many cherries Rachel picked, given that Melissa picked 1 3/5 pounds of cherries and Rachel picked 2 1/3 times more than Melissa. To find this out, we need to convert the mixed numbers into improper fractions, multiply and then convert back to a mixed number if necessary.

First, convert Melissa's cherries to an improper fraction: 1 3/5 = 8/5. Next, convert the number of times more Rachel picked: 2 1/3 times more = 7/3. Now, calculate Rachel's cherries: (8/5) * (7/3) = 56/15. Finally, convert 56/15 to a mixed number: 56/15 is 3 11/15. So, Rachel picked 3 11/15 pounds of cherries.

Twenty disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed? Plz help

Answers

The expression which is false in determining the volume of the cylinder is given by V₁ = π . 3 . 12²

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the 12 cylinders be V

Let the height of the cylinder be h = 1 cm

Let the radius of the cylinder be r = 3 cm

Now , Volume of Cylinder = πr²h

On simplifying , we get

Volume of the cylinder V = 12 x ( π x 3² x 1 )

Volume of the cylinder V = π x 3² x 12 cm³

Volume of the cylinder V = 108π cm³

So , the expression V₁ = π . 3 . 12² is false and cannot be used to determine the volume of the cylinder

Hence , the volume of cylinder is 108π cm³

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The complete question is attached below :

Twelve disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?

This is urgent, please answer!

Anna cuts four identical circles from a square piece of a black poster as shown.

What is the area of the leftover poster board?
Use 3.14 for Pi


A. 3.44 square feet
B. 6.58 square feet
C. 12.56 square feet
D. 12.86 square feet

Answers

I think its C) bc you would take 3.14 x4= 12.56

Can someone help me with this problem?
Complete the table based on the given domain ​

Answers

Answer:

x = -6 ; y = 11

x = 3 ; y = 5

x = 15 ; y = -3

x = -12 ; y = 15

Step-by-step explanation:

y = -(⅔)x + 7

x = -6

y = -(⅔)(-6) + 7

y = 11

5 = -(⅔)x + 7

-2 = -(⅔)x

x = 3

y = -(⅔)(15) + 7

y = -3

15 = -(⅔)x + 7

8 = -(⅔)x

x = -12

this one example of a net of a cube. how many more possible nets could there be of a cube

Answers

Correct option is D) 10 .

Step-by-step explanation:

Net of a cube is : Basically , a cube consists of six square faces, twelve edges, and eight vertices. When the square faces of a cube are separated at the edges and laid out flat they make a two dimensional figure( 2D figure :- Comprises of x-axis & y-axis) called a net. There are eleven different nets for a cube.

Net -- a two-dimensional shape that can be folded into a three-dimensional figure is a net of that figure. Face -- a plane figure that serves as one side of a solid figure. Vertex -- the point at which two line segments, meet to form an angle. Edge -- the line segment where two faces of a solid figure meet.

Since we have 11 nets of a cube ! According to question we have only one net given , that means there are 10 more net of a cub are left .Therefore , Correct option is D) 10 .


The parallelogram shown below has an area of 21 units.

Find the missing height.

Answers

Answer:

8

544+65+6+6+646546141

Answer:

Step-by-step explanation:

It it 7 becaues the base is 3 then 7 x 3 = 21

The Franzes are purchasing a home for $195,000, and they are using a conventional loan. What is the best estimate for what their down

payment will be?

A. $5,850

B. $19,500

C. $39,000

D. $48,750

Answers

Answer:

c. 39,000

ppllaattoooo

The best estimate for what their down payment will be $5850

What is a conventional loan?

A conventional loan is any mortgage loan that is not insured or guaranteed by the government.

Given that, The Franzes are purchasing a home for $195,000, and they are using a conventional loan.

We know, the minimum down payment required for a conventional mortgage is 3%

So, 3% of $195,000 = 195,000x3/100

= 5850

Hence, The best estimate for what their down payment will be $5850

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3=x+3–5x
what’s the answer

Answers

Answer:

x =0

Step-by-step explanation:

3=x+3–5x

Combine like terms

3 = 3-4x

Subtract 3 from each side

3-3 = 3-3-4x

0 =-4x

Divide each side by -4

0/-4 = -4x/-4

0 =x

Answer:

x=0

Step-by-step explanation:

3=x+3-5x add like terms

3= -4x+3

3=-4x+3 subtract 3 from both sides

0=-4x divide on both sides -4/-4 and 0/-4

x would equal 0

Find the circumference of a model Ferris Wheel with a diameter of 10 inches. Use 3.14 for pi. Round to the nearest tenth.

Answers

Answer:31.42

Step-by-step explanation:First you need to find the radius of the circle,so you know the radius is half of the diameter,so you take the radius(2) and multiplys by the pi which is 3.14 the formula is r^ x π

Answer:

31.4 in^2

Explanation:

The Formula for finding circumference is π*d (d=Diameter) or in this case 3.14*d. all you have to do is plug in 10 into the formula and get 3.14*10= 31.4 in^2

14x − 5 − 8x = 1 A) 0 B) 1 C) 3 D) 5

Answers

B because 14-5=9 and 9-8= 1



A college student ingests 300 mg of caffeine at 6:00 am. He metabolizes the caffeine at 18% per hour. About how much caffeine is still in his system by 9:00 am?

Answers

Answer:

the number of caffeine still in his system by 9:00 am is 192 mg.

Step-by-step explanation:

given information

the mass of initial caffein, m₁ = 300 mg

time, t = 9 - 6 = 2 hours

metabolised = 18%/hour = 0.18/h = 0.18 x 300 mg = 54 mg/h

the student metabolised the caffeine 54 mg/h. thus from 6 am to 9 am the caffeine metabolised is

metabolised in 2 hr = 2 x 54

                                 = 108 mg

the remaining caffeine = initial caffeine - metabolised caffeine

                                      = 300 - 108

                                      = 192 mg

Answer:

The correct answer is 138 mg.

Step-by-step explanation:

To understand this problem we must first analyze it.

We know that the student's body metabolizes 18% of the caffeine ingested every hour.

Therefore we can solve that percentage to already have the number of metabolized caffeine per hour:

(300. 18): 100 =

5400: 100 = 54 mg

We now know that the student's body will metabolize 54 mg of caffeine per hour.

The question is much caffeine is still in his system by 9:00 am?

From 6:00 am to 9:00 am we have 3 hours of difference: 3 . 54 = 162

In three hours 162 mg of caffeine were already processed by his body, therefore, it still needs to be metabolized: 300 - 162 = 138 mg.

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